Convert the following mixed numbers into improper fractions. Simplify your answers and express them in their lowest terms.
a. 8&2/4=
To convert the mixed number 8 2/4 into an improper fraction, we multiply the whole number 8 by the denominator 4 and add the numerator 2.
8 * 4 = 32
32 + 2 = 34
So, 8 2/4 = 34/4.
To simplify the fraction 34/4, we see that both numerator and denominator are divisible by 2.
34 ÷ 2 = 17
4 ÷ 2 = 2
Thus, the simplified fraction is 17/2.